The seminar "Geometry, Arithmetic and Differential Equations of Periods"
(GADEPs), started in the pandemic year 2020 and its aim is to gather people
in different areas of mathematics around the notion of periods which are
certain multiple integrals. This is the second GADEPs conference focused on
periods and Hodge theory of Calabi-Yau varieties with applications toward
computing Gromov-Witten invariants.
The study of higher genus Gromov-Witten invariants is one of the core
problems in both symplectic and enumerative algebraic geometry. For
Calabi-Yau threefolds, mirror symmetry invented by physicists has made
remarkable conjectures on the differential structures of higher genus
Gromov-Witten invariants known as BCOV. It uses the Hodge theory and
periods of the mirror Calabi-Yau threefold. Recently, there has been
many progress both in the mathematical framework of BCOV using enhanced
Calabi-Yau varieties and also in proving these conjectures rigorously
for quintic. The main aim of the workshop, is to gather experts
ranging from enumerative algebraic geometry and Hodge theory to
symplectic geometry.
Yanqi Lake Beijing Institute of Mathematical Sciences and Applications (BIMSA),
Instituto Nacional de Matemática Pura e Aplicada (IMPA),